Soft generalized groups

This master thesis consists of six chapters. In the introduction of the thesis, the literature about the notions of the soft set, soft group and generalized group considered in this thesis is given and the purpose of the thesis is mentioned and the emergence of the features of soft sets are mentioned. In the second chapter, soft sets and their operations are given. The third chapter is devoted to soft group, which combined the theory of soft set and the concept of group which is an algebraic concept, and basic information related to the soft group. In the chapter 4, the notion of generalized group is discussed in detail. In the chapter 5, the notion of soft generalized group is defined and some basic information in group theory is examined in terms of soft generalized groups and some results are obtained. Finally, the last chapter is devoted to the Conclusion.